DLMF:25.11.E31 (Q7705)

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Language	Label	Description	Also known as
English	DLMF:25.11.E31	No description defined

Statements

{\displaystyle{\displaystyle\frac{1}{\Gamma\left(s\right)}\int_{0}^{\infty}% \frac{x^{s-1}e^{-ax}}{2\cosh x}\mathrm{d}x=4^{-s}\left(\zeta\left(s,\tfrac{1}{% 4}+\tfrac{1}{4}a\right)-\zeta\left(s,\tfrac{3}{4}+\tfrac{1}{4}a\right)\right),}}

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DLMF:25.11.E31

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{\displaystyle{\displaystyle\Re s>0}}

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{\displaystyle{\displaystyle\Re a>-1}}

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